Question

Electric field outside a long wire carrying charge q is proportional to :

A
1r
B
1r2
C
1r13/5
D
1r13/2
Solution
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Using Gauss Law across the cylindrical Gaussian surface,
E.dS=qencϵ0
E×2πr×l=λ×lϵ0
E=λ2πrϵ0
Here λ is the linear charge density on the wire.

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